Abstract
Przemski introduced D(?, s)-set, D(?, b)-set, D(p, sp)-set, D(p, b)- set and D(b, sp)-set to obtain several decompositions of continuity. In this paper, we extend these sets via bioperation and obtain new decompositions of continuity.
Highlights
Generalized open sets play a very important role in General Topology and they are the research topics of many topologists worldwide
Kasahara [1] defined the concept of an operation on topological spaces
Przemski in [5], analyze some forms of decomposition of continuous and α-continuous using D(α, s)-set, D(α, b)-set, D(p, sp)-set, D(p, b)-set and D(b, sp)-set In this paper, we introduce some new types of sets via bioperation and obtain some theorems related with decomposition of continuity
Summary
Generalized open sets play a very important role in General Topology and they are the research topics of many topologists worldwide. A significant theme in General Topology and Real analysis concerns the various modified forms of continuity, separation axioms etc. Kasahara [1] defined the concept of an operation on topological spaces. Ogata and Maki [4] introduced and studied the notion of τγ∨γ0 which is the collection of all γ ∨ γ0-open sets in a topological space (X, τ ). Przemski in [5], analyze some forms of decomposition of continuous and α-continuous using D(α, s)-set, D(α, b)-set, D(p, sp)-set, D(p, b)-set and D(b, sp)-set In this paper, we introduce some new types of sets via bioperation and obtain some theorems related with decomposition of continuity
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